How do you write $root5(x^5y^5)$ as an exponential form?

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Answer 1 · 2016-02-20T17:45:48

$=xy$

$rootcolor(blue)(5)(x^5y^5$

$=(x^5y^5)^color(blue)(1/5$

By property :
$color(blue)((a^m)^n = a^(mn)$

$=x^(5 xx color(blue)(1/5)) xx y^(5 xx color(blue)(1/5$

$=x^1 xx y^1$

$=xy$

How do you write root5(x^5y^5)root5(x^5y^5) as an exponential form?